Hinds, who has been played mostly in midfield by manager Nigel Adkins but is equally comfortable in defence, is rated as a "major doubt" for the game.
Winger Ian Morris is also struggling with a foot problem, while right-back Cliff Byrne completes a three-game ban.
Baraclough is definately out of the game with a leg injury.
It is a time of change in United's frontline - with two of the three players who started in attack at Doncaster likely to have left the club by Saturday.
Andy Keogh joined Championship side Wolves in a £600,000 deal, while on-loan Drew Talbot looks set to complete a permanent switch to Luton Town.
That means Jermaine Beckford, who was playing in his first game for the club at the Keepmoat Stadium after joining on loan from Leeds the day before, is the only one of the three strikers available.
He is likely to partner top scorer Billy Sharp, who returns after missing the derby at Doncaster through suspension.
Millwall travel up on the back of a 3-0 humbling at Northampton on Tuesday night, and are set to be without Darry Byfield and Alan Dunne through bans.